Kiesenhofer, AnnaKrieger, Joachim2019-05-152019-05-152019-05-15202110.1080/03605302.2021.1936021https://infoscience.epfl.ch/handle/20.500.14299/1564251904.12709We prove that the half-wave maps problem on $\mathbb{R}^{4+1}$ with target $S^2$ is globally well-posed for smooth initial data which are small in the critical $l^1$ based Besov space. This is a formal analogue of the result [17].wave equationfractional wave maps.text::journal::journal article::research article